Video: Determining the Range of a Data Set Involving Negative Numbers

Amelia recorded the outside temperature for five nights for a school project. Determine the range of the recorded data: 7°F, 1°F, −10°F, 12°F, −6°F.

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Video Transcript

Amelia recorded the outside temperature for five nights for a school project. Determine the range of the recorded data. Seven, one, negative 10, 12, and negative six degrees Fahrenheit.

The range of any data set is calculated by subtracting the lowest value from the highest value. In this question, we firstly need to find the highest and lowest temperature. The highest or warmest temperature is 12 degrees Fahrenheit, as 12 is the highest integer in the list. The lowest or coldest temperature is negative 10 degrees Fahrenheit. We can, therefore, calculate the range by subtracting negative 10 from 12. Subtracting negative 10 from a number is the same as adding 10 to that number. 12 plus 10 is equal to 22. This means that the range of temperatures that Amelia recorded is 22 degrees Fahrenheit.

An alternative method to solve this question would be to use a number line. Let’s consider the number line that goes from negative 10 to 12. To get from negative 10 to zero, we need to add 10. And to get from zero to 12, we need to add 12. As 10 plus 12 is equal to 22, we need to add 22 to negative 10 to get to 12.

As the difference between the lowest and highest temperatures is 22 degrees Fahrenheit, our answer for the range is correct.

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